Commit 2026-01-29 13:31 dfa111ce
View on Github →feat(MeasureTheory/Measure/TypeClass/NoAtoms): add exists_accPt_of_noAtoms (#32851)
feat(MeasureTheory/Measure/TypeClass/NoAtoms): Added a theorem that states If a set has positive measure under an atomless measure, then it has an accumulation point.
Added a lemma in (Topology/DiscreteSubset): If a subset of a topological space has no accumulation points,
then it carries the discrete topology.
Theorem added: exists_accPt_of_pos_hausdorffMeasure
Lemma added: discreteTopology_of_noAccPts
Harmonic's Aristotle gave the initial version of the proofs. I did substantial work shortening the proof from 40 lines and refactoring it into another Lemma.
Special thanks to @plp127 and @CoolRmal for the useful feedback in the PR process.